A circle with circumference 8 has an arc with a 288 central angle what is the length of the arc

Answer:3.3

Step-by-step explanation:

Circumference=8

Φ=288

π=3.14

Radius=r

Circumference=2 x π x r

8=2 x 3.14 x r

8=6.28 x r

Divide both sides by 6.28

8/6.28 = (6.28 x r) / 6.28

1.3=r

r=1.3

Length of arc = Φ/360 x 2 x π x r

Length of arc = 288/360 x 3.14 x 1.3

Length of arc = 0.8 x 3.14 x 1.3

Length of arc = 3.3